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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 715 · 40 sums
TalentJR

The method (Know the totals): Acute < 90°, right = 90°, obtuse between 90° and 180°, straight = 180°, reflex between 180° and 360°. Angles on a straight line add up to 180°; angles around a point add up to 360°. Each hour mark on a clock is 30° apart (360° ÷ 12). Turning clockwise from North: 90° → East, 180° → South, 270° → West.

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  1. 1.Three angles together make a straight line. Two of them are 35° and 110°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 30°, 60° and 60°. What is the fourth angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  4. 4.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  5. 5.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  7. 7.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  8. 8.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  9. 9.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  10. 10.Four angles meet at a point. Three of them are 40°, 100° and 140°. What is the fourth angle (in degrees)?
  11. 11.An angle measures 145°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  12. 12.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 165°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  14. 14.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  15. 15.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 10° and 140°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 80°, 70° and 130°. What is the fourth angle (in degrees)?
  18. 18.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  19. 19.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  21. 21.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 35°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  23. 23.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  24. 24.Four angles meet at a point. Three of them are 80°, 90° and 30°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 10° and 10°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 50°, 80° and 40°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 175°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  28. 28.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  29. 29.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  30. 30.Four angles meet at a point. Three of them are 30°, 100° and 110°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  32. 32.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  33. 33.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  34. 34.Three angles together make a straight line. Two of them are 50° and 70°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 30° and 110°. What is the third angle (in degrees)?
  37. 37.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  38. 38.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  40. 40.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South

Answer key

  1. 35
  2. 210
  3. East
  4. 240
  5. 300
  6. 180
  7. 70
  8. West
  9. East
  10. 80
  11. Obtuse
  12. 15
  13. Obtuse
  14. Right
  15. 60
  16. 30
  17. 80
  18. 40
  19. 120
  20. Straight
  21. 72
  22. Acute
  23. 150
  24. 160
  25. 160
  26. 190
  27. Obtuse
  28. 330
  29. North
  30. 120
  31. 30
  32. 45
  33. North
  34. 60
  35. 18
  36. 40
  37. 20
  38. 45
  39. 270
  40. South

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